Write the partial fraction decomposition of the rational expression.
-$\frac { x - 17 } { ( x - 2 ) ( x - 5 ) }$
A) $\frac { 5 } { x - 2 } + \frac { 4 } { x - 5 }$
B) $\frac { - 4 } { x - 2 } + \frac { 5 } { x - 5 }$
C) $\frac { 5 } { x - 2 } + \frac { - 4 } { x - 5 }$
D) $\frac { 4 } { x - 2 } + \frac { - 5 } { x - 5 }$

Question

Quizplus · Accepted Answer

The partial fraction decomposition of $\frac{x - 17}{(x - 2)(x - 5)}$ is $\frac{A}{x - 2} + \frac{B}{x - 5}$. Solving for A and B, we find A = 5 and B = -4.

Write the Partial Fraction Decomposition of the Rational Expression x−17(x−2)(x−5)\frac { x - 17 } { ( x - 2 ) ( x - 5 ) }(x−2)(x−5)x−17​

Write the Partial Fraction Decomposition of the Rational Expression $\frac { x - 17 } { ( x - 2 ) ( x - 5 ) }$